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## Anisotropy-Induced Soliton Excitation in Magnetized Strong-Rung Spin Ladders

Physical Review Letters. 2020. Vol. 125. No. 2. P. 027204-1-027204-6.

We report low temperature electron spin resonance experimental and theoretical studies of an archetype S=1/2 strong-rung spin ladder material (C5H12N)2CuBr4. Unexpected dynamics is detected deep in the Tomonaga-Luttinger spin liquid regime. Close to the point where the system is half-magnetized (and believed to be equivalent to a gapless easy plane chain in zero field) we observed orientation-dependent spin gap and anomalous g-factor values. Field theoretical analysis demonstrates that the observed low-energy excitation modes in magnetized (C5H12N)2CuBr4 are solitonic excitations caused by Dzyaloshinskii-Moriya interaction presence.

Publication based on the results of:

Krasnikova Y., Glazkov V., Ponomaryov A. et al., Physical Review B: Condensed Matter and Materials Physics 2019 Vol. 100 No. 14 P. 144446-1-144446-7

We have studied electron spin resonance (ESR) absorption spectra for the nonmagnetically diluted strong-leg spin ladder magnet (C7H10N)2Cu(1−x)ZnxBr4 (abbreviated as DIMPY) down to 450 mK. Formation of the clusters with nonzero net magnetization is confirmed; the cluster-cluster interaction is evidenced by the concentration dependence of ESR absorption. High-temperature spin-relaxation time was found to increase with nonmagnetic ...

Added: November 15, 2019

Glushkov V. V., Demishev S. V., Samarin A. et al., Physica Status Solidi (B): Basic Research 2017 Vol. 254 No. 4 P. 1600571-1-1600571-5

Added: October 19, 2017

Aseeva N., Gromov E., Onosova I. V. et al., JETP Letters 2016 Vol. 103 No. 10 P. 653-657

Evolution of solitons is addressed in the framework of a third-order nonlinear Schrödinger equation (NLSE), including nonlinear dispersion, third-order dispersion and a pseudo-stimulated-Raman-scattering (pseudo-SRS) term, i.e., a spatial-domain counterpart of the SRS term, which is well known as a part of the temporal domain NLSE in optics. In this context, it is induced by the ...

Added: June 28, 2016

Shchepetilnikov A., Khisameeva A. R., Dremin A. A. et al., JETP Letters 2022 Vol. 115 No. 9 P. 548-552

Weak antilocalization in a narrow AlAs quantum well containing a two-dimensional electron system with a large effective mass at low temperatures has been studied. Such quantum corrections are due to a strong spin–orbit coupling in it. The spin–orbit interaction constant has been determined from the approximation of experimental data by a theoretical model in the ...

Added: February 10, 2023

Smirnov A., Soldatov T. A., Povarov K. Y. et al., Physical Review B: Condensed Matter and Materials Physics 2015 Vol. 92 P. 134417

The electron spin resonance spectrum of a quasi-1D S=1/2 antiferromagnet K2CuSO4Br2 was found to demonstrate an energy gap and a doublet of resonance lines in a wide temperature range between the Curie-Weiss and Neèl temperatures. This type of magnetic resonance absorption corresponds well to the two-spinon continuum of excitations in S=1/2 antiferromagnetic spin chain with ...

Added: October 22, 2016

Aseeva N., Blyakhman L. G., Gromov E. et al., Труды НГТУ им. Р.Е. Алексеева 2016 № 2 С. 9-16

Цель работы: Рассмотрена динамика солитонов в рамках расширенного нелинейного уравнения Шредингера, учитывающего псевдо-рамановское рассеяние (рассеяние на затухание низкочастотных волнах), нелинейную дисперсию и пространственную неоднородность дисперсии второго порядка.
Результат: Показано, что при наличии нелинейной дисперсии сдвиг вниз спектра волновых чисел солитона, вызванный псевдо-рамановским рассеянием, может быть компенсирован сдвигом спектра вверх, вызванным пространственным уменьшением дисперсии второго порядка. ...

Added: June 24, 2016

Kolokolov I., Lebedev V., Turitsyn S. K. et al., Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 2001 Vol. 63 No. 025601(R) P. 025601-1-025601-4

We present a consistent method to calculate the probability distribution of soliton parameters in systems
with additive noise. Even though the noise is weak, we are interested in probabilities of large fluctuations
~generally non-Gaussian! which are beyond perturbation theory. Our method is a development of the instanton
formalism ~method of optimal fluctuation! based on a saddle-point approximation in ...

Added: February 23, 2017

Kolokolov I., Lebedev V., Chertkov M. et al., Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 2003 Vol. 67 P. 036615-1-036615-21

The propagation of the soliton pattern through optical fiber with weakly disordered dispersion coefficient is
considered. Solitons perturbed by this disorder radiate and, as a consequence, decay. The average radiation
profile is found. Emergence of a long-range intrachannel interaction between the solitons ~mediated by this
radiation! is reported. We show that soliton in a multisoliton pattern experiences a ...

Added: February 24, 2017

Kachulin D., Dyachenko A., Dremov S., Fluids 2020 Vol. 5 No. 2 Article 65

The paper presents the long-time dynamics with multiple collisions of breathers in the super compact Zakharov equation for unidirectional deep water waves. Solutions in the form of breathers were found numerically by the Petviashvili method. In the terms of envelope and the assumption of the narrow spectral width the super compact equation turns into the ...

Added: October 22, 2022

Pelinovsky E., E.G. Shurgalina, Sergeeva A. et al., Physical Letters A 2013 Vol. 377 No. 1 P. 272-275

Two-soliton interactions play a definitive role in the formation of the structure of soliton turbulence in integrable systems. To quantify the contribution of these interactions to the dynamical and statistical characteristics of the nonlinear wave field of soliton turbulence we study properties of the spatial moments of the two-soliton solution of the Korteweg–de Vries (KdV) ...

Added: January 18, 2013

Семенякин Н. С., Gamayun O., Journal of Physics A: Mathematical and Theoretical 2016 Vol. 49 No. 335201 P. 1-23

We take a soliton solution of a classical non-linear integrable equation and quench (suddenly change) its non-linearity parameter. For that we multiply the amplitude or the width of a soliton by a numerical factor η and take the obtained profile as a new initial condition. We find the values of η for which the post-quench ...

Added: April 4, 2018

Bienaime T., Isoard M., Fontaine Q. et al., Physical Review Letters 2021 Vol. 126 Article 183901

We report on the formation of a dispersive shock wave in a nonlinear optical medium. We monitor the evolution of the shock by tuning the incoming beam power. The experimental observations for the position and intensity of the solitonic edge of the shock, as well as the location of the nonlinear oscillations are well described ...

Added: October 14, 2021

Shchepetilnikov A., Khisameeva A., Nefyodov Y. A. et al., Physical Review B: Condensed Matter and Materials Physics 2021 Vol. 104 No. 7 Article 075437

The electron spin resonance (ESR) of two-dimensional electrons with large effective mass was studied experimentally near even filling factors of the integer quantum Hall effect. Surprisingly, the electron spin resonance did not vanish at the exact even fillings even in the case of large electron densities, where the ground state of the system was previously ...

Added: January 10, 2022

Gromov E.M., Malomed B. A., Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 2015 Vol. 92 No. 6 P. 062926-1-062926-7

Dynamics of solitons is considered in the framework of an extended nonlinear Schrödinger equation (NLSE), which is derived from a Zakharov-type model for wind-driven high-frequency (HF) surface waves in the ocean, coupled to damped low-frequency (LF) internal waves. The drive gives rise to a convective (but not absolute) instability in the system. The resulting NLSE ...

Added: December 5, 2015

Sherbakov A., Oleg I. Utesov, Journal of Magnetism and Magnetic Materials 2021 Vol. 518 P. 167390

Motivated by recent experiments on quantum magnet NiCl2-4SC(NH2)2 (DTN) and its Br-doped counterpart DTNX we propose a theoretical description of optical magnon branch in the antiferromagnet with large single-ion
anisotropy in the magnetically ordered phase. In the framework of the 1/S expansion we derive analytical
expressions for optical magnon with \bf{k} = 0 energy magnetic field dependence ...

Added: January 15, 2021

Kamchatnov A.M., L. F. Calazans de Brito, Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 2021 Vol. 104 Article 054203

We show that the number of solitons produced from an arbitrary initial pulse of the simple wave type can be calculated analytically if its evolution is governed by a generalized nonlinear Schroedinger equation provided this number is large enough. The final result generalizes the asymptotic formula derived for completely integrable nonlinear wave equations like the standard NLS equation ...

Added: January 17, 2022

Камчатнов А. М., Успехи физических наук 2021 Т. 191 № 1 С. 52-87

We present an introduction to the theory of dispersive shock waves in the framework of the approach proposed by Gurevich and Pitaevskii (Zh. Eksp. Teor. Fiz., Vol. 65, p. 590 (1973) [Sov. Phys. JETP, Vol. 38, p. 291 (1974)]) based on Whitham’s theory of modulation of nonlinear waves. We explain how Whitham equations for a ...

Added: October 14, 2021

Semeno A. V., Okubo S., Ohta H. et al., Applied Magnetic Resonance 2021 Vol. 52 No. 4 P. 459-472

Cerium hexaboride attracts attention of solid-state community for almost 50 years. Nowadays, this material is considered as a unique example of a system with orbital ordering resulting in formation of low-temperature magnetic phase with quadrupolar order, the so-called antiferroquadrupole phase. In crystal electric field 4f 1 state of Ce³⁺ splits into Γ7 doublet and Γ8 ...

Added: October 25, 2022

Kamchatnov A., Shaykin D. V., Physics of Fluids 2021 Vol. 33 Article 052120

We consider propagation of high-frequency wave packets along a smooth evolving background flow whose evolution is described by a simple-wave type of solutions of hydrodynamic equations. In geometrical optics approximation, the motion of the wave packet obeys the Hamilton equations with the dispersion law playing the role of the Hamiltonian. This Hamiltonian depends also on ...

Added: October 14, 2021

Gromov E.M., Malomed B. A., Communications in Nonlinear Science and Numerical Simulation 2020 Vol. 85 Article 105220

We introduce a nonlinear Schrödinger equation (NLSE) which combines the pseudo-stimulated-Raman-scattering (pseudo-SRS) term, i.e., a non-conservative cubic one with the first spatial derivative, and an external potential, which helps to stabilize solitons against the pseudo-SRS effect. Dynamics of solitons is addressed by means of analytical and numerical methods. The quasi-particle approximation (QPA) for the solitons ...

Added: February 5, 2020

Krasnikova Yu V, Glazkov V N, Fayzullin M. A. et al., Journal of Physics: Conference Series 2018 Vol. 969 No. 012113 P. 1-4

Spin-gap magnet (C7H10N)2Cu(1-x)ZnxBr4 (DIMPY) is an example of a strongleg
spin ladder. We report here the results of the ESR study of pure and diamagnetically diluted
DIMPY. ESR study of the pure system (x=0) revealed that the spin dynamics of DIMPY is
a ected by uniform Dzyaloshinskii-Moriya (DM) interaction. We observe narrowing of the ESR
absorption line in diamagnetically ...

Added: June 16, 2018

Zvyagin S. A., Kamenskyi D., Ozerov M. et al., Physical Review Letters 2014 Vol. 112 P. 077206

Spin-1/2 Heisenberg antiferromagnets Cs2CuCl4 and Cs2CuBr4 with distorted triangular-lattice structures are studied by means of electron spin resonance spectroscopy in magnetic fields up to the saturation field and above. In the magnetically saturated phase, quantum fluctuations are fully suppressed, and the spin dynamics is defined by ordinary magnons. This allows us to accurately describe the ...

Added: October 22, 2016

Kolokolov I., Lebedev V., Chertkov M. et al., JETP Letters 2001 Vol. 74 No. 7 P. 391-395

The propagation of a soliton pattern through one-dimensional medium with weakly disordered dispersion is considered. Solitons, perturbed by this disorder, radiate. The emergence of a long-range interaction between the solitons, mediated by the radiation, is reported. Basic soliton patterns are analyzed. The interaction is triple and is extremely sensitive to the phase mismatch and relative ...

Added: March 4, 2017

Wave amplification in the framework of forced nonlinear Schrödinger equation: the rogue wave context

Pelinovsky E., Slunyaev A., Sergeeva A., Physica D: Nonlinear Phenomena 2015 Vol. 303 P. 18-27

Irregular waves which experience the time-limited external forcing within the framework of the nonlinear Schrödinger (NLS) equation are studied numerically. It is shown that the adiabatically slow pumping (the time scale of forcing is much longer than the nonlinear time scale) results in selective enhancement of the solitary part of the wave ensemble. The slow ...

Added: August 4, 2015